Thursday, March 20, 2014

Liner Programming

<<<Image Goes Here>>>
Vertices:

(0,6)
(0,0)
(6,0)




Constraints
Objective Function: 
x ≥ 0
y ≥ 0
x + y ≤ 6


C + 3x = 4y


<<<Image Goes Here>>>
Vertices:
(0,6)
(-5,4)
(0,4)




Constraints
Objective Function: 
x ≤ 5
y ≥ 4
-2x + 5y ≤ 30


C = 2x + 5y



<<<Image Goes Here>>>
Vertices:
(1,8)
(1,2)
(5,2)




Constraints
Objective Function: 
x ≥ 0
y ≥ 0
x + y ≤ 5

 C + 7x + 3y




<<<Image Goes Here>>>
Vertices:
(0,8)
(0,4)
(6,8)




Constraints
Objective Function: 
x ≥ 0
y ≥ 8
-2x +3 y ≤ 12

 C = 4x + 6y




<<<Image Goes Here>>>
Vertices:
(0,5)
(0,4)
(2,3)

 


Constraints
Objective Function: 
x ≥ 0
y ≥ 0
4x +4 y ≤ 20
x + 2y ≤ 8

 C = 8x + 7y




<<<Image Goes Here>>>
Vertices:
(0,4)
(0,2)
(3,0)
(4,3)





Constraints
Objective Function: 
x ≥ 0
2x + 3y ≥ 6
3x - y ≤ 9
x +4 y ≤ 16

 C = 3x + 5y




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